Hello. I don't know how to do this
A = {$\displaystyle (x_1,x_2): x_1=0, 0 \leq x_2 \leq 1$}
B = {$\displaystyle (x_1,x_2): x_2=2, 0 \leq x_1 \leq 1$}
Describe A+B and A-B.
Thank you.
So it is coordinate operations.
Rewrite the B set to make the answer clearer.
A = {$\displaystyle (x_1,x_2): x_1=0, 0 \leq x_2 \leq 1$}
B = $\displaystyle \{(x_1,x_2):0 \leq x_1 \leq 1, x_2=2\}$
Now
$\displaystyle A+B=\{x_1,x_2): 0\le x_1\le 1, 2 \leq x_2 \leq 1\}$
$\displaystyle A-B=\{x_1,x_2): -1\le x_1\le 0, -2 \leq x_2 \leq -1\}$